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Finding the Fourth Proportional to 98,137.80, 147,206.70 and 88,288.20

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Solution

The fourth proportional to 98,137.80, 147,206.70 and 88,288.20 is: 132,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,137.80 : 147,206.70 = 88,288.20 : x
  2. Step 2: Convert to fraction form
    98,137.80/147,206.70 = 88,288.20/x
  3. Step 3: Cross multiply
    98,137.80x = 147,206.70 × 88,288.20
  4. Step 4: Simplify right side
    98,137.80x = 12,996,614,570.94
  5. Step 5: Solve for x
    x = 12,996,614,570.94/98,137.80
  6. Step 6: Final answer
    x = 132,432.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.